H<inf>&#x221E;</inf> controller design of networked control systems with time-varying sampling periods

Abstract

This paper studies the problem of designing H∞ controllers for networked control systems with both networkinduced delay and transmitted data dropout by using time-varying sampling period method, where the number of data packet dropout is driven by a finite state Markov chain. Based on Lyapunov approach, sufficient conditions for the stochastic stability of the networked control system are derived and H∞ controller design is also presented by using the multi-objective optimization methodology correspondingly. A simulation example is worked out to illustrate the effectiveness of our result.

On Lie-algebraic-solvability-based feedback stabilization of systems with controller-driven sampling

“…6) Several recent results deal with stabilization of a continuoustime LTI system under varying sampling rates in a networked environment, such as Sala (2005), Suh (2008), Wang and Yang (2008), Ramos et al (2009), and Yuan et al (2010). A feature common to all the latter works is the use of linear matrix inequalities (LMIs) for both feedback design and stability analysis.…”